Local systems on configuration spaces, KZ connections and conformal blocks
type: Item
instance of: scholarly article
title: Local systems on configuration spaces, KZ connections and conformal blocks
zbMATH Open document ID: 1311.52017
author: Toshitake Kohno
published in: Acta Mathematica Vietnamica
publication date: 2015-01-21T00:00:00Z
review text: The author reviews homology of local systems on the complement of hyperplane arrangements and provides the construction of the homological representations of braid groups. The homology of the local systems on configuration spaces is given. Then, KZ-equations are defined and its solutions by hypergeometric integrals are described. The comparison theorem for homological representations and the homonomy of KZ connections are discussed in the case of generic parameters. Finally, the author discusses the nongeneric case from the viewpoint of conformal field theory.
Mathematics Subject Classification ID: 52C35
Mathematics Subject Classification ID: 20F36
Mathematics Subject Classification ID: 33C60
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 17B67
zbMATH DE Number: 6388898
zbMATH Keywords: braid groups
zbMATH Keywords: hyperplane arrangements
zbMATH Keywords: configuration spaces
zbMATH Keywords: hypergeometric integrals
zbMATH Keywords: quantum groups
zbMATH Keywords: conformal field theory
reviewed by: Kelly J. Pearson
MaRDI profile type: Publication
full work available at URL: s40306-014-0088-6
OpenAlex ID: W2047805447
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DOI: 10.1007/S40306-014-0088-6
description: scientific article; zbMATH DE number 6388898